Given numbers are 674,784,914

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 674,784,914 is 120743056.

Find LCM of 674,784,914 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 337 x 392 x 457 = 120743056

Therefore, the lowest common multiple of 674,784,914 is 120743056.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

674 x 784 x 914 = 482972224

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

674 : 1, 2, 337, 674

784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

914 : 1, 2, 457, 914

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 674,784,914, is 2.

Now, the common factors can be found like this.

674:2x 337

784:2x 2x 2x 2x 7x 7

914:2x 457

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2 = 2

Therefore, the value for common factors is 2.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 482972224/(2x2)

LCM = 482972224/4

LCM = 120743056

Thus, we can understand that the LCM of 674,784,914 is 120743056.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 831, 638, 108
• LCM of 819, 686, 876
• LCM of 562, 709, 305
• LCM of 828, 787, 503
• LCM of 985, 773, 717

1. What is the LCM of 674, 784, 914?

Answer: LCM of 674, 784, 914 is 120743056.

2. How to calculate the LCM of 674, 784, 914?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 674, 784, 914.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.